Final answer:
To obtain 13 board feet from 1 in. by 4 in. boards, 39 feet of lumber is needed. For vertical studs placed 16.0 inches apart, that distance is equivalent to 40.64 centimeters.
Step-by-step explanation:
The question asks how to calculate the total length of boards needed to equal a certain number of board feet using the given dimensions of the lumber. To find the total length of 1 in. by 4 in. boards needed for 13 board feet (bf), we use the formula bf = (t * w * l) / 12. Since the thickness (t) is 1 inch, the width (w) is 4 inches, and we want 13 bf, the formula becomes 13 = (1 * 4 * l) / 12.
Solving for l gives us l = (13 * 12) / 4, which simplifies to l = 39 feet. Therefore, 39 feet of 1 in. by 4 in. boards are required to have a total of 13 board feet.
To answer the second part of the question: the distance of 16.0 inches, when the boards are used as vertical studs which are typically placed 16.0 inches apart, is equivalent to 40.64 centimeters. This conversion is done by multiplying the number of inches by 2.54, since one inch is equal to 2.54 centimeters.